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42333992064 = 2733713134609
BaseRepresentation
bin100111011011010011…
…010111010010000000
311001021022212121201000
4213123103113102000
51143200000221224
631240432212000
73026034665250
oct473323272200
9131238777630
1042333992064
1116a54486901
12825569a000
133cb8799760
142098567960
15117b8700c9
hex9db4d7480

42333992064 has 256 divisors, whose sum is σ = 153778464000. Its totient is φ = 11164925952.

The previous prime is 42333992047. The next prime is 42333992101. The reversal of 42333992064 is 46029933324.

42333992064 is a `hidden beast` number, since 4 + 233 + 399 + 20 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247192 + ... + 381800.

It is an arithmetic number, because the mean of its divisors is an integer number (600697125).

Almost surely, 242333992064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42333992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76889232000).

42333992064 is an abundant number, since it is smaller than the sum of its proper divisors (111444471936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42333992064 is a wasteful number, since it uses less digits than its factorization.

42333992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134652 (or 134634 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 42333992064 in words is "forty-two billion, three hundred thirty-three million, nine hundred ninety-two thousand, sixty-four".